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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#135425 | #5661. Multi-Ladders | Nicolas125841 | AC ✓ | 1ms | 3584kb | C++17 | 1.5kb | 2023-08-05 15:08:43 | 2023-08-05 15:08:46 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
const ll mod = 1000000007;
ll modpow(ll b, ll e) {
ll ans = 1;
for (; e; b = b * b % mod, e /= 2)
if (e & 1) ans = ans * b % mod;
return ans;
}
template<class T, int N> struct Matrix {
typedef Matrix M;
array<array<T, N>, N> d{};
M operator*(const M& m) const {
M a;
rep(i,0,N) rep(j,0,N)
rep(k,0,N) {a.d[i][j] += d[i][k]*m.d[k][j] % mod; a.d[i][j] %= mod;}
return a;
}
vector<T> operator*(const vector<T>& vec) const {
vector<T> ret(N);
rep(i,0,N) rep(j,0,N) {ret[i] += d[i][j] * vec[j] % mod; ret[i] %= mod;}
return ret;
}
M operator^(ll p) const {
assert(p >= 0);
M a, b(*this);
rep(i,0,N) a.d[i][i] = 1;
while (p) {
if (p&1) a = a*b;
b = b*b;
p >>= 1;
}
return a;
}
};
int main(){
cin.tie(NULL)->sync_with_stdio(false);
int t;
cin >> t;
while(t--){
ll n, k, l;
cin >> n >> k >> l;
if(l < 2){
cout << "0\n";
continue;
}
Matrix<ll, 3> A;
A.d = {{{{0, l-1, l-2}}, {{1, 0, 0}}, {{0, l-1, l-2}}}};
vector<ll> vec = {1,0,0};
vec = (A^(k-1)) * vec;
cout << (modpow(modpow(((l - 1) + modpow(l - 2, 2)) % mod, k), n - 1) * l % mod) * ((vec[1] * (l - 1) % mod + vec[2] * (l - 2) % mod) % mod) % mod << "\n";
}
}
詳細信息
Test #1:
score: 100
Accepted
time: 1ms
memory: 3584kb
input:
1 2 3 3
output:
162
result:
ok single line: '162'
Test #2:
score: 0
Accepted
time: 1ms
memory: 3528kb
input:
20 2 3 3 1 3 3 10 3 0 10 3 2 1 21 2 1 22 0 2000 15000 2000 12000 30000 200000 1000000000 3 3 2 1000000000 3 2 3 100000000 1000000000 1000000000 10 1000000000 3 100000000 2 1000000000 100000000 1 1000000000 10 1 1000000000 100000000 1 1000 100000000 1000000000 1000000000 0 1000000000 1000000000 1 100...
output:
162 6 0 0 0 0 349400141 243010659 52489881 53690844 176686901 218103365 558243892 991895211 693053429 883715672 80402569 0 0 311752813
result:
ok 20 lines